1968129 has 6 divisors (see below), whose sum is σ = 2842866. Its totient is φ = 1312080.

The previous prime is 1968103. The next prime is 1968137. The reversal of 1968129 is 9218691.

It can be written as a sum of positive squares in only one way, i.e., 1046529 + 921600 = 1023^2 + 960^2 .

It is not a de Polignac number, because 1968129 - 2¹² = 1964033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1968093 and 1968102.

It is not an unprimeable number, because it can be changed into a prime (1968139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109332 + ... + 109349.

It is an arithmetic number, because the mean of its divisors is an integer number (473811).

It is a Proth number, since it is equal to 961 ⋅ 2¹¹ + 1 and 961 < 2¹¹.

2^1968129 is an apocalyptic number.

It is an amenable number.

1968129 is a deficient number, since it is larger than the sum of its proper divisors (874737).

1968129 is a wasteful number, since it uses less digits than its factorization.

1968129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218687 (or 218684 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1968129 is about 1402.9002102787. The cubic root of 1968129 is about 125.3192691766.

The spelling of 1968129 in words is "one million, nine hundred sixty-eight thousand, one hundred twenty-nine".